Dynamics of stochastic Lotka-Volterra predator-prey models driven by three independent Brownian motions

Abstract

This article concerns the permanence and extinction of stochastic Lotka-Volterra predator-prey models perturbed by three independent white noises. We establish some criteria and present some numerical simulations that illustrate our theoretical results. It is shown that the presence of strong noise on either the intra-specific interaction rate or the inter-specific interaction rate may lead to complete different dynamical behaviors from the deterministic case.